What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is Two-thirds the length of the line segment from A to B?x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

(2, –1)
(4, –3)
(–1, 2)
(3, –2)

Answers

Answer 1

Answer:

Point P on the directed line segment from A to B will have x and y coordinates that are two-thirds of the length of the line segment from A to B. (-1,2).

What are coordinates?

Any one of a group of integers that are used to define where a point is on a surface, on a line, or in space. coordinates in terms of latitude and longitude.

It is given that, P is Two-thirds the length of the line segment from A to B and the coordinates of the points are A = (9,-8) B = (-6,7).

We have to find the x- and y- coordinates of point P on the directed line segment from A to B

P is a line that divides the line segment from A to B in half.

AP = (2/3) AB

BP = (1/3) AB

We shall subtract two times as much length from AB as there is to A.

x=(m/m+n)(x₂-x₁)+x₁

y=(m/m+n)(y₂-y₁)+y₁

For m=2 and n=1 the value of x and y is,

x=(2/2+1)(-6-9)+9

x=-1

y=(2/2+1)(7-(-8))+(-8)

y=2

Thus, point P on the directed linesegment from A to B will have x and y coordinates that are two-thirds of the length of the line segment from A to B. (-1,2).

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Answer 2

Answer:

Answer:

4,-3

Step-by-step explanation:

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Jim has gotten scores of 99 and 93 on his first two tests. what score must he get on his third test to keep an average of 90 or greater

Answers

Jim must get ≥ 78 score to maintain his average ≥ 90 .

What is an average ?

Every thing has a central tendency , Average is one of the measure of Central Tendency.

It is the mean of all the given numbers and is determined by summing all the numbers or data and then dividing by the total number of data.

It is given that

Jim has gotten scores of 99 and 93 on his first two tests.

He has to maintain an average of 90 or greater

The third test score = ?

Average = (99+93+x)/3

90≤ (99+93+x)/3

270 ≤ (99+93+x)

270 ≤ 192 + x

Therefore x ≥ 78

Jim must get ≥ 78 score to maintain his average ≥ 90 .

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For the average to be 90,

(99 + 93 + x) / 3 = 90

or 192 + x = 270
or x = 270 - 192 = 78

Jim must score at least 78 in the third test.

Compare and contrast the perpendicular bisectors and angle bisectors of a triangle. How are they alike? How are they different?

Answers

They are alike because they both divide something.. They are different because one perpendicular bisector divides one side of the triangle into two equal lengths at a 90 degree angle. So if there's is three perpendicular bisectors, then it splits all three sides the triangles into equal lengths. Angle bisectors splits an angle of a triangle into two even degrees.

Answer:

Step-by-step explanation:

The perpendicular bisectors and angle bisectors are alike in one manners that they both divide the entities they are drawn at.

Perpendicular bisector bisect the sides of triangle in two equal halves and angle bisectors divides the angles to which they are drawn in two equal halves.

The difference is that ,

the point at which perpendicular bisectors meet, is the center of circumcircle which is drawn through the vertices of triangle

the point at which angle bisectors are met, is called the incenter , and is the center of incircle inscribed in a triangle touching its three sides.

Which of the following is equivalent to the expression below?(3) (4) (-3/4)

A. -12(-3/4)
B. -13(3/4)
C. -12- 3/4
D. -12 + 3/4

Answers

The expression (3)(4)(-3/4) is equivalent to -9.

None of the given options is correct.

Given information:

The expression is (3) (4) (-3/4).

Multiplying 3, 4, and -3/4, we get:

(3)(4)(-3/4),

Simplify the parenthesis,

= 12(-3/4)

Multiplying,

= -36/4

Divide -36 by 4, and we get,

= -9

Therefore, the expression is equivalent to:-9

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The calculation of property tax is based on the

Answers

The property tax is typically based on how much the property was worth when it was bought. so if your sales price was 130,000 it would go up by whatever the percentage is that is in that state or even county.

Pls help ASAP! Consider this linear function:
Y= 1/2x + 1
Plot all ordered pairs for the values in the domain.
D: { -8,-4,0,2,6}

Answers

A graph of the linear function y = 1/2(x) + 1 is shown in the image attached below.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m represent the slope or rate of change.
x and y are the points.
b represent the y-intercept.

Since the given linear function y = 1/2(x) + 1 is in slope-intercept form, we would start by plotting the y-intercept:

y = 1/2(x) + 1

y = 1/2(0) + 1

y = 1 ⇒ (0, 1)

y = 1/2(-8) + 1

y = 1 ⇒ (-8, -3)

y = 1/2(-4) + 1

y = 1 ⇒ (-4, -1)

y = 1/2(2) + 1

y = 1 ⇒ (2, 2)

y = 1/2(6) + 1

y = 1 ⇒ (6, 4)

Next, we would use an online graphing tool to plot the given linear function for the values in its domain { -8,-4,0,2,6} using table, as shown in the graph attached below.

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Final answer:

To plot the ordered pairs for the given domain of a linear function, substitute each value of x into the equation and solve for y.

Explanation:

To plot the ordered pairs for the values in the given domain, we substitute each value of x into the equation and solve for y. Let's do that for each value in the domain: